Earliness penalties on a single machine subject to precedence constraints: SLK due date assignment

The paper considers the single machine due date assignment and scheduling problems with n jobs in which the due dates are to be obtained from the processing times by adding a positive slack q. A schedule is feasible if there are no tardy jobs and the job sequence respects given precedence constraints. The value of q is chosen so as to minimize a function ϕ(F,q) which is non-decreasing in each of its arguments, where F is a certain non-decreasing earliness penalty function. Once q is chosen or fixed, the corresponding scheduling problem is to find a feasible schedule with the minimum value of function F. In the case of arbitrary precedence constraints the problems under consideration are shown to be NP-hard in the strong sense even for F being total earliness. If the precedence constraints are defined by a series-parallel graph, both scheduling and due date assignment problems are proved solvable in time, provided that F is either the sum of linear functions or the sum of exponential functions. The running time of the algorithms can be reduced to if the jobs are independent. Scope and purpose We consider the single machine due date assignment and scheduling problems and design fast algorithms for their solution under a wide range of assumptions. The problems under consideration arise in production planning when the management is faced with a problem of setting the realistic due dates for a number of orders. The due dates of the orders are determined by increasing the time needed for their fulfillment by a common positive slack. If the slack is set to be large enough, the due dates can be easily maintained, thereby producing a good image of the firm. This, however, may result in the substantial holding cost of the finished products before they are brought to the customer. The objective is to explore the trade-off between the size of the slack and the arising holding costs for the early orders.

The impact on students of coursework assessment deadlines and penalties

The use by students of an e-learning system that enhances traditional learning in a large university computing school where there are clear assessment deadlines and severe penalties for late submission of coursework is examined to assess the impact of changes to the deadline model on the way students use the system and on the results they achieve. It is demonstrated that the grade a student achieves is partly dependent on the time before the deadline when the work is completed - in general, students who submit earlier gain higher grades. Possible reasons for this are explored. Analysis of the data from a range of different implementations of deadline policies is presented. Suggestions are made on how to minimise any possible negative impact of the assessment policy on the student's overall learning.

Penalties on car rental agreements

Examines the Cambridge County Court ruling in Volkswagen Financial Services (UK) Ltd v Ramage on whether a clause in a car hire contract which allowed the finance company, upon repudiation of the contract after the hirer fell into arrears, to claim compensation equivalent to the lost future rental payments was unenforceable as a penalty clause, rather than being a reasonable pre-estimate of actual loss. Refers to case law including the Court of Appeal ruling in Anglo Auto Finance Co v James in considering the differing losses which would occur during the course of the hire term according to the natural depreciation of the value of the car. Notes the reasoning of the Court on: (1) contracts of hire compared with hire purchase agreements; (2) the comparative position of the parties and the freedom to contract elsewhere; and (3) the reasonable prediction of future losses.

Earliness penalties on a single machine subject to precedence constraints: SLK due date assignment

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Coursework uploads and zero-tolerance deadlines

Clear assessment deadlines and severe penalties for late submission of coursework are a feature of a number of UK universities. This presents a severe challenge for any online upload system. Evidence from a range of different implementations at the School of Computing and Mathematical Sciences at the University of Greenwich over the past few years is examined to assess the impact of a zero-tolerance deadline policy on the way students work and the problems that arise. Suggestions are made on how to minimise any possible negative impact of a zero-tolerance deadline policy on the administration of the system and on staff and students.

Return of deposits

Explores case law illustrating the circumstances in which the courts are likely to order the return of a deposit in the event of a buyer's default. Notes the unwillingness of the courts to apply the rule on penalties to deposits and discusses the court's discretion under the Law of Property Act 1925 s.49(2) to order repayment. Focuses on the Chancery Division ruling in Aribisala v St James Homes (Grosvenor Dock) Ltd giving guidance on the circumstances in which the discretion under s.49(2) should be exercised.

Production of lightweight aggregate from industrial waste and carbon dioxide

The concomitant recycling of waste and carbon dioxide emissions is the subject of developing technology designed to close the industrial process loop and facilitate the bulk-re-use of waste in, for example, construction. The present work discusses a treatment step that employs accelerated carbonation to convert gaseous carbon dioxide into solid calcium carbonate through a reaction with industrial thermal residues. Treatment by accelerated carbonation enabled a synthetic aggregate to be made from thermal residues and waste quarry fines. The aggregates produced had a bulk density below 1000 kg/m3 and a high water absorption capacity. Aggregate crushing strengths were between 30% and 90% stronger than the proprietary lightweight expanded clay aggregate available in the UK. Cast concrete blocks containing the carbonated aggregate achieve compressive strengths of 24 MPa, making them suitable for use with concrete exposed to non-aggressive service environments. The energy intensive firing and sintering processes traditionally required to produce lightweight aggregates can now be augmented by a cold-bonding, low energy method that contributes to the reduction of green house gases to the atmosphere.