Theory, computation, and an example of mathematical programming models with optimization problems in the constraints have been discussed in a previous paper [1]. A computer program for solving mathematical programming models with nonlinear programs in the constraints has been presented in a subsequent paper [2], A procedure for transforming mathematical programs with two-sided optimization prob...

Mathematical models are an important tool in the development of software technology, including programming languages and algorithms. During the last few years, a new class of such models has been developed based on the notion of a mathematical game that is especially well-suited to address the interactions between the components of a system. This paper gives an introduction to these game-semant...

Mathematical models are an important tool in the development of software technology, including programming languages and algorithms. During the last few years, a new class of such models has been developed based on the notion of a mathematical game that is especially well-suited to address the interactions between the components of a system. This paper gives an introduction to these game-semant...

this paper presented a mixed integer programming for integrated scheduling and process planning. the presented process plan included some orders with precedence relations similar to multiple traveling salesman problem (mtsp), which was categorized as an np-hard problem. these types of problems are also called advanced planning because of simultaneously determining the appropriate sequence and m...

The mine production planning defines a sequence of block extraction to obtain the highest NPV under a number of constraints. Mathematical programming has become a widespread approach to optimize production planning, for open pit mines since the 1960s. However, the previous and existing models are found to be limited in their ability to explicitly incorporate the ore grade uncertainty into the p...

This paper addresses a new version of the exible ow line prob- lem, i.e., the budget constrained one, in order to determine the required num- ber of processors at each station along with the selection of the most eco- nomical process routes for products. Since a number of parameters, such as due dates, the amount of available budgets and the cost of opting particular routes, are imprecise (fuzz...

Numerous researchers and practitioners are attracted to sustainability in supply chains (SCS) and it has become one of the favorite topics among academics and industries. The purpose of this paper is to review and analyze the research studies that have been published in the field of sustainable supply chain management (SSCM). A total 242 articles published between 2000 and 2019 reviewed. Conten...

This paper presents the review of past studies concerning mathematical models for rescheduling passenger railway services, as part of delay management in the occurrence of railway disruption. Many past mathematical models highlighted were aimed at minimizing the service delays experienced by passengers during service disruptions. Integer programming (IP) and mixed-integer programming (MIP) mode...

Production planning is a key area of operations management. An important methodology for production planning is mathematical programming. Traditional mathematical programming models for production planning are deterministic, and cannot provide robust production plans in the presence of uncertainty. As such, deterministic planning models may yield unsatisfactory decisions. Stochastic programming...