Travelling salesman problem modelling by mixed integer linear programming of python (MIP)

New Integer Programming Formulations of the Generalized Travelling Salesman Problem

The Generalized Travelling Salesman Problem, denoted by GTSP, is a variant of the classical travelling salesman problem (TSP), in which the nodes of an undirected graph are partitioned into node sets (clusters) and the salesman has to visit exactly one node from every cluster. In this paper we described six distinct formulations of the GTSP as an integer programming. Apart from the standard for...

A Survey of Different Integer Programming Formulations of the Travelling Salesman Problem

Eight distinct (and in some cases little known) formulations of the Travelling Salesman Problem as an Integer Programme are given. Apart from the standard formulation all the formulations are ‘compact’ in the sense that the number of constraints and variables is a polynomial function of the number of cities in the problem. Comparisons of the formulations are made by projecting out variables in ...

A Mixed-Integer Linear Programming Problem which is Efficiently Solvable

Solving the Installation Scheduling Problem Using Mixed Integer Linear Programming

for installing a large number of sizes and types of items (e.g., machines) over time so as to optimize some measure (e.g., initial capital investment), subject to various resource constraints. Examples of this problem are scheduling the installation of point-of-sale terminals in supermarket and retail chains, and teller terminals in banks. We have formulated the installation scheduling problem ...

Mixed-integer linear programming heuristics for the prepack optimization problem

In this paper we consider a packing problem arising in inventory allocation applications, where the operational cost for packing the bins is comparable, or even higher, than the cost of the bins (and of the items) themselves. This is the case, for example, of warehouses that have to manage a large number of different customers (e.g., stores), each requiring a given set of items. For this proble...