Exact Arithmetic at Low Cost - A Case Study in Linear Programming

A LINEAR PROGRAMMING MODEL FOR PRODUCTION PLANNING: AN IRANIAN CASE STUDY IN CEMENT

Production planning and inventory control efforts are known as the driving engines of manufacturing systems. The manufacturers, competing to survive in these days’ competitive business environment, aim to satisfy customers’ needs. This requires a precise production plan throughout the supply chain. These days, because of the increasing costs of production and distribution, especially in the cem...

Exact soultion of full interval linear equation AX=B based on Kaucher arithmetic

Efficient computation of exact solutions for quantitative model checking

Quantitative model checkers for Markov Decision Processes typically use finite-precision arithmetic, since exact techniques are generally too expensive or limited in scalability. In this paper we propose a method for obtaining exact results starting from an approximated solution in finite-precision arithmetic. The input of the method is a description of a scheduler, which can be obtained by a m...

A Mathematical Programming for a Special Case of 2E-LRP in Cash-In-Transit Sector Having Rich Variants

In this article, we propose a special case of two-echelon location-routing problem (2E-LRP) in cash-in-transit (CIT) sector. To tackle this realistic problem and to make the model applicable, a rich LRP considering several existing real-life variants and characteristics named BO-2E-PCLRPSD-TW including different objective functions, multiple echelons, multiple periods, capacitated vehicles, dis...

Modeling and Optimization of Truck-Shovel Allocation to Mining Faces in Cement Quarry

Truck and shovel are the most common raw material transportation system used in the cement quarry operations. One of the major challenges associated with the cement quarry operations is the efficient allocation of truck and shovel to the mining faces. In order to minimize the truck and shovel operating cost, subject to quantity and quality constraints, the mixed integer linear programing (MILP)...