diff --git a/include/mp/common.h b/include/mp/common.h
index fb45456dc..8f2d17bf7 100644
--- a/include/mp/common.h
+++ b/include/mp/common.h
@@ -126,6 +126,9 @@ enum {
 namespace sol {
 /** Solution status. */
 enum Status {
+
+  NOT_CHECKED = -200,
+
   /** Unknown status. */
   UNKNOWN     =  -1,
 
diff --git a/include/mp/convert/backend.h b/include/mp/convert/backend.h
index 97950fbb0..36f8df1d1 100644
--- a/include/mp/convert/backend.h
+++ b/include/mp/convert/backend.h
@@ -208,6 +208,7 @@ class BasicBackend :
     MP_DISPATCH( WrapupSolve() );
 
     MP_DISPATCH( ObtainSolutionStatus() );
+    MP_DISPATCH( CalculateDerivedResults() );
     MP_DISPATCH( ReportSolution() );
     if (MP_DISPATCH( timing() ))
       MP_DISPATCH( PrintTimingInfo() );
@@ -226,6 +227,7 @@ class BasicBackend :
     solve_status = MP_DISPATCH(
           ConvertSolutionStatus(*MP_DISPATCH( interrupter() ), solve_code) );
   }
+  void CalculateDerivedResults() { }
 
   void ReportSolution() {
     MP_DISPATCH( ReportSuffixes() );
@@ -249,9 +251,7 @@ class BasicBackend :
     DeclareAndReportIntSuffix(suf_constatus, stt);
   }
 
-  void ReportCustomSuffixes() {
-
-  }
+  void ReportCustomSuffixes() { }
 
   void ReportPrimalDualValues() {
     fmt::MemoryWriter writer;
@@ -285,8 +285,21 @@ class BasicBackend :
   ///
   /////////////////////////////////////////////////////////////////////////////////
 
-  int solve_code=0;
+  /////////////////////////////// SOLUTION STATUS /////////////////////////////////
+  bool IsProblemInfOrUnb() const {
+    assert( IsSolStatusRetrieved() );
+    return sol::INFEASIBLE<=solve_code &&
+        sol::UNBOUNDED>=solve_code;
+  }
+
+  bool IsSolStatusRetrieved() const {
+    return sol::NOT_CHECKED!=solve_code;
+  }
+
+  int solve_code=sol::NOT_CHECKED;
   std::string solve_status;
+
+  /////////////////////////////// STORING SOLUTON AND STATS ///////////////////////
   double obj_value = std::numeric_limits<double>::quiet_NaN();
   std::vector<double> solution, dual_solution;
 
@@ -328,9 +341,13 @@ class BasicBackend :
     GetCQ().DeclareAndReportIntSuffix(suf, values);
   }
 
+  void DeclareAndReportDblSuffix(const SuffixDef<double>& suf,
+    const std::vector<double>& values) {
+    GetCQ().DeclareAndReportDblSuffix(suf, values);
+  }
+
+
   ///////////////////////////// OPTIONS /////////////////////////////////
-  /// TODOs
-  /// - hide all Solver stuff behind an abstract interface
 protected:
 
   using Solver::AddOption;
diff --git a/include/mp/convert/converter_flat_query.h b/include/mp/convert/converter_flat_query.h
index 4a1804210..07932502c 100644
--- a/include/mp/convert/converter_flat_query.h
+++ b/include/mp/convert/converter_flat_query.h
@@ -29,6 +29,12 @@ class FlatConverterQuery : public ConverterQuery {
     GetOutputModel().DeclareAndReportIntSuffix(suf, values);
   }
 
+
+  void DeclareAndReportDblSuffix(const SuffixDef<double>& suf,
+    const std::vector<double>& values) override {
+    GetOutputModel().DeclareAndReportDblSuffix(suf, values);
+  }
+
   void HandleSolution(int status, fmt::CStringRef msg,
                       const double *x, const double * y, double obj) override {
     GetCvt().HandleSolution(status, msg, x, y, obj);
diff --git a/include/mp/convert/converter_query.h b/include/mp/convert/converter_query.h
index 68f1c0caf..67667d7ad 100644
--- a/include/mp/convert/converter_query.h
+++ b/include/mp/convert/converter_query.h
@@ -24,6 +24,9 @@ class ConverterQuery {
   virtual void DeclareAndReportIntSuffix(const SuffixDef<int>& suf,
                       const std::vector<int>& values) = 0;
 
+  virtual void DeclareAndReportDblSuffix(const SuffixDef<double>& suf,
+    const std::vector<double>& values) = 0;
+
   virtual void HandleSolution(int, fmt::CStringRef,
       const double *, const double *, double) = 0;
 
diff --git a/include/mp/convert/mip_backend.h b/include/mp/convert/mip_backend.h
new file mode 100644
index 000000000..3e204aafd
--- /dev/null
+++ b/include/mp/convert/mip_backend.h
@@ -0,0 +1,127 @@
+/*
+ Abstract MIP solver backend wrapper.
+
+ Copyright (C) 2020 AMPL Optimization Inc
+
+ Permission to use, copy, modify, and distribute this software and its
+ documentation for any purpose and without fee is hereby granted,
+ provided that the above copyright notice appear in all copies and that
+ both that the copyright notice and this permission notice and warranty
+ disclaimer appear in supporting documentation.
+
+ The author and AMPL Optimization Inc disclaim all warranties with
+ regard to this software, including all implied warranties of
+ merchantability and fitness.  In no event shall the author be liable
+ for any special, indirect or consequential damages or any damages
+ whatsoever resulting from loss of use, data or profits, whether in an
+ action of contract, negligence or other tortious action, arising out
+ of or in connection with the use or performance of this software.
+
+ */
+
+#ifndef MIPBACKEND_H_
+#define MIPBACKEND_H_
+
+#include "mp/convert/backend.h"
+
+
+namespace mp {
+
+/// MIP backend wrapper.
+/// The MIP wrapper provides common functionality relative to MIP solvers;
+/// it implements the common suffixes and the logic shared across all MIP
+/// solvers
+template <class Impl>
+class MIPBackend :
+  public BasicBackend<Impl>
+{
+  using BaseBackend = BasicBackend<Impl>;
+
+  struct Options {
+    int exportIIS_;
+    int returnMipGap_;
+  };
+  Options mipStoredOptions_;
+
+public:
+
+  void InitOptions() {
+    BaseBackend::InitOptions();
+    MP_DISPATCH( InitMIPOptions() );
+  }
+
+  void InitMIPOptions() {
+    this->AddStoredOption("iisfind",
+      "Whether to find and export the IIS. "
+      "Default = 0 (don't export).",
+      mipStoredOptions_.exportIIS_);
+    this->AddStoredOption("return_mipgap",
+      "Whether to return mipgap suffixes or include mipgap values\n\
+		(|objectve - best_bound|) in the solve_message:  sum of\n\
+			1 = return relmipgap suffix (relative to |obj|);\n\
+			2 = return absmipgap suffix (absolute mipgap);\n\
+			4 = suppress mipgap values in solve_message.\n\
+		Default = 0.  The suffixes are on the objective and problem.\n\
+		Returned suffix values are +Infinity if no integer-feasible\n\
+		solution has been found, in which case no mipgap values are\n\
+		reported in the solve_message.",
+      mipStoredOptions_.returnMipGap_);
+  }
+
+  void CalculateDerivedResults() {
+    BasicBackend<Impl>::CalculateDerivedResults();
+    if (MP_DISPATCH( IsProblemInfOrUnb() ) &&
+        mipStoredOptions_.exportIIS_)
+      MP_DISPATCH( ComputeIIS() );
+    if (mipStoredOptions_.returnMipGap_)
+      MP_DISPATCH( ComputeMipGap() );
+
+  }
+
+  // Override for standard MIP calculations
+  /**
+  * Compute the IIS and relevant values
+  **/
+  void ComputeIIS();
+  /**
+  * Get IIS values for constraints 
+  **/
+  void ConsIIS(std::vector<int>& stt) { stt.clear(); }
+  /**
+  * Get IIS values for variables
+  **/
+  void VarsIIS(std::vector<int>& stt) { stt.clear(); }
+
+  void ComputeMipGap() {}
+  double MIPGap() { throw std::runtime_error("Not implemented"); }
+
+  const SuffixDef<int> sufIISCon = { "iis", suf::CON | suf::OUTPUT };
+  const SuffixDef<int> sufIISVar = { "iis", suf::VAR | suf::OUTPUT };
+
+  const SuffixDef<double> sufRelMipGapObj = { "relmipgap", suf::OBJ | suf::OUTPUT };
+  const SuffixDef<double> sufRelMipGapProb = { "relmipgap", suf::PROBLEM | suf::OUTPUT };
+
+  void ReportStandardSuffixes() {
+    BasicBackend<Impl>::ReportStandardSuffixes();
+    std::vector<int> stt;
+    std::vector<double> dbl;    
+    if (mipStoredOptions_.exportIIS_)
+    {
+      MP_DISPATCH(ConsIIS(stt));
+      this->DeclareAndReportIntSuffix(sufIISCon, stt);
+      MP_DISPATCH(VarsIIS(stt));
+      this->DeclareAndReportIntSuffix(sufIISVar, stt);
+    }
+    if (mipStoredOptions_.returnMipGap_)
+    {
+      dbl.clear();
+      dbl.push_back(MP_DISPATCH( MIPGap() ));
+      this->DeclareAndReportDblSuffix(sufRelMipGapObj, dbl);
+      this->DeclareAndReportDblSuffix(sufRelMipGapProb, dbl);
+    }
+  }
+
+};
+}  // namespace mp
+
+#endif  // MIPBACKEND_H_
diff --git a/include/mp/convert/model_adapter.h b/include/mp/convert/model_adapter.h
index 57935ef18..59dcae25c 100644
--- a/include/mp/convert/model_adapter.h
+++ b/include/mp/convert/model_adapter.h
@@ -36,7 +36,7 @@ class ModelAdapter : public Model {
   }
 
   template <class T>
-  void DeclareAndReportSuffix(const SuffixDef<int>& sufdef,
+  void DeclareAndReportSuffix(const SuffixDef<T>& sufdef,
                               const std::vector<T>& values) {
     if (values.empty())
       return;
diff --git a/solvers/gurobidirect/gurobibackend.cc b/solvers/gurobidirect/gurobibackend.cc
index 7deac7873..6136b10bc 100644
--- a/solvers/gurobidirect/gurobibackend.cc
+++ b/solvers/gurobidirect/gurobibackend.cc
@@ -88,7 +88,8 @@ int GurobiBackend::NumberOfObjectives() const {
 void GurobiBackend::PrimalSolution(std::vector<double> &x) {
   int num_vars = NumberOfVariables();
   x.resize(num_vars);
-  int error = GRBgetdblattrarray(model, GRB_DBL_ATTR_X, 0, num_vars, x.data());
+  int error = GRBgetdblattrarray(model, GRB_DBL_ATTR_X,
+                                 0, num_vars, x.data());
   if (error)
     x.clear();
 }
@@ -96,7 +97,8 @@ void GurobiBackend::PrimalSolution(std::vector<double> &x) {
 void GurobiBackend::DualSolution(std::vector<double> &pi) {
   int num_cons = NumberOfConstraints();
   pi.resize(num_cons);
-  int error = GRBgetdblattrarray(model, GRB_DBL_ATTR_PI, 0, num_cons, pi.data());
+  int error = GRBgetdblattrarray(model, GRB_DBL_ATTR_PI,
+                                 0, num_cons, pi.data());
   if (error)
     pi.clear();
 }
@@ -108,7 +110,8 @@ double GurobiBackend::ObjectiveValue() const {
 void GurobiBackend::VarStatii(std::vector<int> &stt) {
   int num_vars = NumberOfVariables();
   stt.resize(num_vars);
-  int error = GRBgetintattrarray(model, GRB_INT_ATTR_VBASIS, 0, num_vars, stt.data());
+  int error = GRBgetintattrarray(model, GRB_INT_ATTR_VBASIS,
+                                 0, num_vars, stt.data());
   if (error)
     stt.clear();
 }
@@ -116,7 +119,8 @@ void GurobiBackend::VarStatii(std::vector<int> &stt) {
 void GurobiBackend::ConStatii(std::vector<int> &stt) {
   int num_cons = NumberOfConstraints();
   stt.resize(num_cons);
-  int error = GRBgetintattrarray(model, GRB_INT_ATTR_CBASIS, 0, num_cons, stt.data());
+  int error = GRBgetintattrarray(model, GRB_INT_ATTR_CBASIS,
+                                 0, num_cons, stt.data());
   if (error)
     stt.clear();
 }
@@ -152,7 +156,7 @@ std::string GurobiBackend::ConvertSolutionStatus(
   default:
     // Fall through.
     if (interrupter.Stop()) {
-      solve_code = 600;
+      solve_code = sol::INTERRUPTED;
       return "interrupted";
     }
     int solcount;
@@ -196,10 +200,11 @@ void GurobiBackend::AddVariable(Variable var) {
 void GurobiBackend::AddLinearObjective( const LinearObjective& lo ) {
   if (1>=NumberOfObjectives()) {
     GRB_CALL( GRBsetintattr(model, GRB_INT_ATTR_MODELSENSE,
-                          obj::Type::MAX==lo.get_sense() ? GRB_MAXIMIZE : GRB_MINIMIZE) );
+                  obj::Type::MAX==lo.get_sense() ? GRB_MAXIMIZE : GRB_MINIMIZE) );
     GRB_CALL( GRBsetdblattrlist(model, GRB_DBL_ATTR_OBJ,
                                 lo.get_num_terms(),
-                                (int*)lo.get_vars().data(), (double*)lo.get_coefs().data()) );
+                                (int*)lo.get_vars().data(),
+                                (double*)lo.get_coefs().data()) );
   } else {
     throw std::runtime_error("Multiple objectives not supported");
 //    TODO
@@ -219,28 +224,28 @@ void GurobiBackend::AddQuadraticObjective(const QuadraticObjective &qo) {
   }
 
 }
-
 void GurobiBackend::AddConstraint( const LinearConstraint& lc ) {
   GRB_CALL( GRBaddrangeconstr(model, lc.nnz(),
-                              (int*)lc.pvars(), (double*)lc.pcoefs(), lc.lb(), lc.ub(), NULL) );
+                              (int*)lc.pvars(), (double*)lc.pcoefs(),
+                              lc.lb(), lc.ub(), NULL) );
 }
 
 void GurobiBackend::AddConstraint( const QuadraticConstraint& qc ) {
   const auto& qt = qc.GetQPTerms();
   if (qc.lb()==qc.ub())
     GRB_CALL( GRBaddqconstr(model, qc.nnz(), (int*)qc.pvars(), (double*)qc.pcoefs(),
-                            qt.num_terms(), (int*)qt.vars1(), (int*)qt.vars2(), (double*)qt.coefs(),
-                            GRB_EQUAL, qc.lb(), NULL) );
+                            qt.num_terms(), (int*)qt.vars1(), (int*)qt.vars2(),
+                            (double*)qt.coefs(), GRB_EQUAL, qc.lb(), NULL) );
   else {            // Let solver deal with lb>~ub etc.
     if (qc.lb()>MinusInfinity()) {
       GRB_CALL( GRBaddqconstr(model, qc.nnz(), (int*)qc.pvars(), (double*)qc.pcoefs(),
-                              qt.num_terms(), (int*)qt.vars1(), (int*)qt.vars2(), (double*)qt.coefs(),
-                              GRB_GREATER_EQUAL, qc.lb(), NULL) );
+                              qt.num_terms(), (int*)qt.vars1(), (int*)qt.vars2(),
+                              (double*)qt.coefs(), GRB_GREATER_EQUAL, qc.lb(), NULL) );
     }
     if (qc.ub()<Infinity()) {
       GRB_CALL( GRBaddqconstr(model, qc.nnz(), (int*)qc.pvars(), (double*)qc.pcoefs(),
-                              qt.num_terms(), (int*)qt.vars1(), (int*)qt.vars2(), (double*)qt.coefs(),
-                              GRB_LESS_EQUAL, qc.ub(), NULL) );
+                              qt.num_terms(), (int*)qt.vars1(), (int*)qt.vars2(),
+                              (double*)qt.coefs(), GRB_LESS_EQUAL, qc.ub(), NULL) );
     }
   }
 }
@@ -380,6 +385,7 @@ void GurobiBackend::InitOptions() {
       "limit on solve time (in seconds; default: no limit).",
       GRB_DBL_PAR_TIMELIMIT, 0.0, DBL_MAX);
 
+
 }
 
 void GurobiBackend::GetSolverOption(const char *key, int &value) const {
@@ -408,5 +414,32 @@ void GurobiBackend::SetSolverOption(const char *key, const std::string& value) {
   GRB_CALL( GRBsetstrparam(GRBgetenv(model), key, value.c_str()) );
 }
 
+void GurobiBackend::ComputeIIS() {
+  GRB_CALL(GRBcomputeIIS(model));
+}
+
+void GurobiBackend::VarsIIS(std::vector<int>& stt) {
+  int num_vars = NumberOfVariables();
+  stt.resize(num_vars);
+  int error = GRBgetintattrarray(model, GRB_INT_ATTR_IIS_LB,
+                                 0, stt.size(), stt.data());
+  if (error)
+    stt.clear();
+}
+
+void GurobiBackend::ConsIIS(std::vector<int>& stt) {
+  int nl = GetGrbIntAttribute(GRB_INT_ATTR_NUMSOS) +
+      GetGrbIntAttribute(GRB_INT_ATTR_NUMQCONSTRS) +
+      GetGrbIntAttribute(GRB_INT_ATTR_NUMGENCONSTRS);
+  stt.resize((std::size_t)NumberOfConstraints() + nl);
+  int error = GRBgetintattrarray(model, GRB_INT_ATTR_IIS_CONSTR,
+                                 0, stt.size()-nl, stt.data()+nl);
+  if (error)
+    stt.clear();
+}
+
+double GurobiBackend::MIPGap() {
+  return GetGrbDblAttribute(GRB_DBL_ATTR_MIPGAP);
+}
 
 } // namespace mp
diff --git a/solvers/gurobidirect/gurobibackend.h b/solvers/gurobidirect/gurobibackend.h
index 4101fceae..3ba72182d 100644
--- a/solvers/gurobidirect/gurobibackend.h
+++ b/solvers/gurobidirect/gurobibackend.h
@@ -22,14 +22,14 @@ extern "C" {
 
 #include <string>
 
-#include "mp/convert/backend.h"
+#include "mp/convert/mip_backend.h"
 #include "mp/convert/std_constr.h"
 
 namespace mp {
 
-class GurobiBackend : public BasicBackend<GurobiBackend>
+class GurobiBackend : public MIPBackend<GurobiBackend>
 {
-  using BaseBackend = BasicBackend<GurobiBackend>;
+  using BaseBackend = MIPBackend<GurobiBackend>;
 
   //////////////////// [[ The public interface ]] //////////////////////
 public:
@@ -122,6 +122,12 @@ class GurobiBackend : public BasicBackend<GurobiBackend>
   void VarStatii(std::vector<int>& stt);
   void ConStatii(std::vector<int>& stt);
 
+
+  void VarsIIS(std::vector<int>& stt);
+  void ConsIIS(std::vector<int>& stt);
+
+  double MIPGap();
+
   /// Solution attributes
   double NodeCount() const;
   double Niterations() const;
@@ -132,6 +138,8 @@ class GurobiBackend : public BasicBackend<GurobiBackend>
 private:
   GRBenv   *env   = NULL;
   GRBmodel *model = NULL;
+  
+  int optimstatus; // Stores gurobi optimization status after SolveAndReportIntermediateResults
 
 public:
   void OpenSolver();
@@ -149,9 +157,13 @@ class GurobiBackend : public BasicBackend<GurobiBackend>
   /// for direct access
   struct Options {
     std::string exportFile_;
+    int exportIIS_;
   };
+
   Options storedOptions_;
 
+  
+
 public:
   /// These methods access Gurobi options. Used by AddSolverOption()
   void GetSolverOption(const char* key, int& value) const;
@@ -161,6 +173,11 @@ class GurobiBackend : public BasicBackend<GurobiBackend>
   void GetSolverOption(const char* key, std::string& value) const;
   void SetSolverOption(const char* key, const std::string& value);
 
+
+  // Calculate MIP backend related quantities
+  void ComputeIIS();
+  void ComputeMIPGap() {}
+
 };
 
 } // namespace mp