The problem of scheduling jobs with precedence constraints is a central problem in Scheduling Theory which arises in many industrial and scientific applications. In this paper we present a polynomial time approximation scheme for the problem of scheduling jobs with chain precedence constraints on a fixed number of uniformly related machines. Our algorithm works even if we allow “slow” machines ...

x{ Scope and Purpose. | We consider a scheduling problem in a two-processor system where (i) every job can be processed on only one machine and where (ii) there are chain-type precedence relations among the jobs. The goal is to minimize the makespan. This continues the work of Chang and Lee 1], Jansen 4] and of Kellerer and Woeginger 5]. Abstract. | We consider a special case of the precedence ...

In this paper we study an extension of the classical Resource-Constrained Project Scheduling Problem (RCPSP) with minimum makespan objective by introducing a further type of precedence constraints denoted as “Feeding Precedences” (FP). This kind of problem happens in that production planning environment, like make-to-order manufacturing, when the effort associated with the execution of an activ...

Assembly line balancing problems (ALBP) are of capital importance for the industry since the first assembly line for the Ford T by Henry Ford. Their objective is to optimize the design of production lines while satisfying the various constraints. Precedence constraints among the tasks are always present in ALBP. The objective is then to place the tasks among various workstations such that the p...