Multiple facility location on a network with linear reliability order of edges

We study the problem of locating facilities on the nodes of a network to maximize the expected demand serviced. The edges of the input graph are subject to random failure due to a disruptive event. We consider a special type of failure correlation. The edge dependency model assumes that the failure of a more reliable edge implies the failure of all less reliable ones. Under this dependency model called Linear Reliability Order (LRO) we give two polynomial time exact algorithms. When two distinct LRO’s exist, we prove the total unimodularity of a linear programming formulation. In addition, we show that minimizing the sum of facility opening costs and expected cost of unserviced demand under two orderings reduces to a matching problem. We prove NP-hardness of the three orderings case and show that the problem with an arbitrary number of orderings generalizes the deterministic maximum coverage problem. When a demand point can be covered only if a facility exists within a distance limit, we show that the problem is NP-hard even for a single ordering.     

On global integer extrema of real-valued box-constrained multivariate quadratic functions

Determining global integer extrema of an real-valued box-constrained multivariate quadratic functions is a very difficult task. In this paper, we present an analytic method, which is based on a combinatorial optimization approach in order to calculate global integer extrema of a real-valued box-constrained multivariate quadratic function, whereby this problem will be proven to be as NP-hard via solving it by a Travelling Salesman instance. Instead, we solve it using eigenvalue theory, which allows us to calculate the eigenvalues of an arbitrary symmetric matrix using Newton’s method, which converges quadratically and in addition yields a Jordan normal form with \(1 \times 1\)-blocks, from which a special representation of the multivariate quadratic function based on affine linear functions can be derived. Finally, global integer minimizers can be calculated dynamically and efficiently most often in a small amount of time using the Fourier–Motzkin- and a Branch and Bound like Dijkstra-algorithm. As an application, we consider a box-constrained bivariate and multivariate quadratic function with ten arguments.     

An optimal online algorithm for the parallel-batch scheduling with job processing time compatibilities

We consider the online (over time) scheduling on a single unbounded parallel-batch machine with job processing time compatibilities to minimize makespan. In the problem, a constant \(\alpha >0\) is given in advance. Each job \(J_{j}\) has a normal processing time \(p_j\). Two jobs \(J_i\) and \(J_j\) are compatible if \(\max \{p_i, p_j\} \le (1+\alpha )\cdot \min \{p_i, p_j\}\). In the problem, mutually compatible jobs can form a batch being processed on the machine. The processing time of a batch is equal to the maximum normal processing time of the jobs in this batch. For this problem, we provide an optimal online algorithm with a competitive ratio of \(1+\beta _\alpha \), where \(\beta _\alpha \) is the positive root of the equation \((1+\alpha )x^{2}+\alpha x=1+\alpha \).     

Hamiltonian numbers in oriented graphs

A hamiltonian walk of a digraph is a closed spanning directed walk with minimum length in the digraph. The length of a hamiltonian walk in a digraph D is called the hamiltonian number of D, denoted by h(D). In Chang and Tong (J Comb Optim 25:694–701, 2013), Chang and Tong proved that for a strongly connected digraph D of order n, \(n\le h(D)\le \lfloor \frac{(n+1)^2}{4} \rfloor \), and characterized the strongly connected digraphs of order n with hamiltonian number \(\lfloor \frac{(n+1)^2}{4} \rfloor \). In the paper, we characterized the strongly connected digraphs of order n with hamiltonian number \(\lfloor \frac{(n+1)^2}{4} \rfloor -1\) and show that for any triple of integers n, k and t with \(n\ge 5\), \(n\ge k\ge 3\) and \(t\ge 0\), there is a class of nonisomorphic digraphs with order n and hamiltonian number \(n(n-k+1)-t\).     

Ex Ante Project Evaluation and the Complexity of Early Decision-Making

This paper looks beyond more traditional evaluation activities to focus primarily on evaluation up front. It suggests that the early appraisal of an investment case or a project should apply essentially the same evaluation criteria that will be used in ex post evaluation, and thus increase the likelihood of a successful project outcome. However, the initial plan might be altered as result of subsequent analysis, assessment, negotiation, positioning, and the exercise of power. The last part of this paper presents an empirical study of 23 projects, which examines the complexity of processes that occur in the idea- and decision phases.     

Strategic Planning in the Malawi Public Sector: Potential Tool for Progress or Regression?

The process of developing strategic plans in the public sector is regarded as one indicator of positive reform in the system. The assumption is that strategic planning ensures that (just like in the private sector) public sector organizations’ operations should cost less but deliver better service. Ultimately the argument is that public sector institutional governance and responsiveness to the citizenry is not only seen but felt. However, strategic planning has to be done in an appropriate manner for it to deliver. For instance an analysis of the underlying motives, the role of leadership in the process as well as the relevance or viability of the guiding strategic planning model significantly affect the nature of expected results. In the early 2000s, the Malawi public sector embarked on a serious drive towards strategic planning process as part of its reform package. In order to ascertain it’s potential to transform the Malawi public service, this paper focuses at critically analyzing the strategic planning process in the Malawi public sector by among other things asking: who initiated and led the process? What approach determined the process? What is the possible potentiality of the adopted strategic planning approach in enhancing the reform agenda in Malawi? Based on interviews with senior officers in key Malawi public sector institutions, the paper concludes that the strategic planning process is ‘transitional and fluid’ hence lacks the clout to effectively enhance reforms in this sector. Another finding is that lack of effective leadership has largely contributed to the status quo.     

‘Strong Personalities’ and ‘Strong Institutions’ Mediated by a ‘Strong Third Force’: Thinking ‘Systems’ in Corruption Control

Corruption in public sector is a complex, ‘messy’ and ‘fuzzy’ phenomenon which involves calculus machinations between actors and constantly growing in sophistication. Consequently, an attempt to prevent, control or fight it requires systems thinking that ranges from public officials with integrity and personal ethics [strong personalities]; administrative rules and procedures as well as governments adopting, enforcing and monitoring appropriate systems [strong institutions]. This paper provides a systems approach to enhancing public sector ethics through ‘a corruption control tripod’ in preventing, controlling and combating corruption in all its forms. This framework discusses three overarching pillars and argues that adopting a reductionist approach in corruption control would yield futility; there is a need for synthesis so that each one would reinforce the other.     

Public Multichannel Management – an Integrated Framework of Off- and Online Multichannel Government Services

Government institutions have introduced multichannel environments over time following trends and technological innovations. These public multichannel environments often neglect specific channel characteristics and potentials and thus miss the opportunity to make full use of a strategic channel integration and combination with a focus on customer value creation. This study offers a systematic approach to establish an integrated public multichannel system not only taking into account user preferences, habits and their environment, but also the respective channel issuer and the characteristics of channels and public interfaces. Against this background, the study presents a systematic approach to expand services and channels according to their capacities, and provides academics and practitioners with a framework on public multichannel strategies.     

The Global Wave of Refugees and Migrants: Complex Challenges for European Policy Makers

This article reviews the burdensome problem posed by the arrival in the European countries of large number of refugees and migrants from countries at war or with little economic opportunities. It differentiates the issues of migrants (for economic reasons) and refugees (humanitarian grounds). This wave of refugees currently poses huge challenges to European policy makers. The article suggests some policy initiatives that could solve or at least control the present chaos, disorder, and uncertainty created by the arrival of this unprecedented number of refugees.