Rescheduling to minimize makespan on a changing number of identical processors

We consider the problem of rescheduling n jobs to minimize the makespan on m parallel identical processors when m changes value. We show this problem to be NP-hard in general. Call a list schedule totally optimal if it is optimal for all m = 1, …,n. When n is less than 6, there always exists a totally optimal schedule, but for n ≥ 6 this can fail. We show that an exact solution is less robust than the largest processing time first (LPT) heuristic and discuss implications for polynomial approximation schemes and hierarchical planning models.     

娱乐场所简易自动喷水灭火系统设计

歌舞娱乐放映游艺场所多设置在已建建筑内,往往不具备设置自动喷水灭火系统的条件。为此,笔者提出在这类建筑中设置简易自动喷水灭火系统的设想,给出了简易自动喷水灭火系统的组成、工作原理及特点,探讨了设计简易自动喷水灭火系统应注意的问题。     

Financial versus human resources in the Greek‐Turkish arms race: A forecasting investigation using artificial neural networks

This paper aims at forecasting the burden on the Greek economy resulting from the arms race against Turkey and at concentrating on the leading determinants of this burden. The military debt and the defence share of GDP are employed alternatively in order to approximate the measurement of the arms race pressure on Greece, and the method used is that of artificial neural networks. The use of a wide variety of explanatory variables in combination with the promising results derived, suggest that the impact on the Greek economy resulting from this arms race is determined, to a large, extent, by demographic factors which strongly favour the Turkish side. Prediction on both miltary debt and defence expenditure exhibited highly satisfactory accuracy, while the estimation of input significance, indicates that variables describing the Turkish side are often dominant over the corresponding Greek ones.     

THE HARD CASES

Many countries received Soviet-origin highly enriched uranium (HEU) for civilian nuclear research purposes. Because of inadequate nuclear security at a number of the research sites, U.S. policy has sought to remove or otherwise safely dispose of their HEU stocks as quickly as possible. Although the pace of HEU disposition has accelerated significantly in recent years, several sites have posed formidable technical, economic, and political challenges. This article identifies the major obstacles to HEU removal at two key installations—Kharkiv in Ukraine, and Sosny in Belarus—and recommends a strategy for overcoming these impediments. Key components for a successful disposition strategy include: treating these cases with the urgency they deserve, expanding potential compensation packages, explicitly addressing the institutional and political issues involved, engaging high-level political leaders, working with third parties, and promoting these efforts as part of a nondiscriminatory initiative to phase out HEU in the civilian nuclear sector globally.     

Analysis of a new vehicle scheduling and location problem

We consider a container terminal discharging containers from a ship and locating them in the terminal yard. Each container has a number of potential locations in the yard where it can be stored. Containers are moved from the ship to the yard using a fleet of vehicles, each of which can carry one container at a time. The problem is to assign each container to a yard location and dispatch vehicles to the containers so as to minimize the time it takes to download all the containers from the ship. We show that the problem is NP‐hard and develop a heuristic algorithm based on formulating the problem as an assignment problem. The effectiveness of the heuristic is analyzed from both worst‐case and computational points of view. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 363–385, 2001     

Minimizing makespan on a single batch processing machine with nonidentical job sizes

We deal with the problem of minimizing makespan on a single batch processing machine. In this problem, each job has both processing time and size (capacity requirement). The batch processing machine can process a number of jobs simultaneously as long as the total size of these jobs being processed does not exceed the machine capacity. The processing time of a batch is just the processing time of the longest job in the batch. An approximation algorithm with worst‐case ratio 3/2 is given for the version where the processing times of large jobs (with sizes greater than 1/2) are not less than those of small jobs (with sizes not greater than 1/2). This result is the best possible unless P = NP. For the general case, we propose an approximation algorithm with worst‐case ratio 7/4. A number of heuristics by Uzosy are also analyzed and compared. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 226–240, 2001