The achievable region approach to the optimal control of stochastic systems

The achievable region approach seeks solutions to stochastic optimisation problems by: (i) characterising the space of all possible performances(the achievable region) of the system of interest, and (ii) optimisingthe overall system-wide performance objective over this space. This isradically different from conventional formulations based on dynamicprogramming. The approach is explained with reference to a simpletwo-class queueing system. Powerful new methodologies due to the authorsand co-workers are deployed to analyse a general multiclass queueingsystem with parallel servers and then to develop an approach to optimalload distribution across a network of interconnected stations. Finally,the approach is used for the first time to analyse a class of intensitycontrol problems.

Selective hiring and welfare analysis in labor market models

Firms select not only how many, but also which workers to hire. Yet, in standardsearch models of the labor market, all workers have the same probability of being hired.We argue that selective hiring crucially affects welfare analysis. Our model is isomorphicto a search model under random hiring but allows for selective hiring. With selectivehiring, the positive predictions of the model change very little, but the welfare costsof unemployment are much larger because unemployment risk is distributed unequallyacross workers. As a result, optimal unemployment insurance may be higher and welfareis lower if hiring is selective.

Beyond Smith's rule: An optimal dynamic index, rule for single machine stochastic scheduling with convex holding costs

Most research on single machine scheduling has assumedthe linearity of job holding costs, which is arguablynot appropriate in some applications. This motivates ourstudy of a model for scheduling $n$ classes of stochasticjobs on a single machine, with the objective of minimizingthe total expected holding cost (discounted or undiscounted). We allow general holding cost rates that are separable,nondecreasing and convex on the number of jobs in eachclass. We formulate the problem as a linear program overa certain greedoid polytope, and establish that it issolved optimally by a dynamic (priority) index rule,whichextends the classical Smith's rule (1956) for the linearcase. Unlike Smith's indices, defined for each class, ournew indices are defined for each extended class, consistingof a class and a number of jobs in that class, and yieldan optimal dynamic index rule: work at each time on a jobwhose current extended class has larger index. We furthershow that the indices possess a decomposition property,as they are computed separately for each class, andinterpret them in economic terms as marginal expected cost rate reductions per unit of expected processing time.We establish the results by deploying a methodology recentlyintroduced by us [J. Niño-Mora (1999). "Restless bandits,partial conservation laws, and indexability. "Forthcomingin Advances in Applied Probability Vol. 33 No. 1, 2001],based on the satisfaction by performance measures of partialconservation laws (PCL) (which extend the generalizedconservation laws of Bertsimas and Niño-Mora (1996)):PCL provide a polyhedral framework for establishing theoptimality of index policies with special structure inscheduling problems under admissible objectives, which weapply to the model of concern.

When to carry eccentric products? Optimal retail assortment under consumer returns

To understand whether retailers should consider consumer returns when merchandising, we study howthe optimal assortment of a price-taking retailer is influenced by its return policy. The retailer selects itsassortment from an exogenous set of horizontally differentiated products. Consumers make purchase andkeep/return decisions in nested multinomial logit fashion. Our main finding is that the optimal assortmenthas a counterintuitive structure for relatively strict return policies: It is optimal to offer a mix of the mostpopular and most eccentric products when the refund amount is sufficiently low, which can be viewed asa form of risk sharing between the retailer and consumers. In contrast, if the refund is sufficiently high, orwhen returns are disallowed, optimal assortment is composed of only the most popular products (a commonfinding in the literature). We provide preliminary empirical evidence for one of the key drivers of our results:more eccentric products have higher probability of return conditional on purchase. In light of our analyticalfindings and managerial insights, we conclude that retailers should take their return policies into accountwhen merchandising.

Stroke initial severity and outcome relative to insurance status in a universal health care system in Switzerland.

BACKGROUND:  Socioeconomic status is thought to have a significant influence on stroke incidence, risk factors and outcome. Its influence on acute stroke severity, stroke mechanisms, and acute recanalisation treatment is less known. METHODS:  Over a 4-year period, all ischaemic stroke patients admitted within 24 h were entered prospectively in a stroke registry. Data included insurance status, demographics, risk factors, time to hospital arrival, initial stroke severity (NIHSS), etiology, use of acute treatments, short-term outcome (modified Rankin Scale, mRS). Private insured patients (PI) were compared with basic insured patients (BI). RESULTS:  Of 1062 consecutive acute ischaemic stroke patients, 203 had PI and 859 had BI. They were 585 men and 477 women. Both populations were similar in age, cardiovascular risk factors and preventive medications. The onset to admission time, thrombolysis rate, and stroke etiology according to TOAST classification were not different between PI and BI. Mean NIHSS at admission was significantly higher for BI. Good outcome (mRS ≤ 2) at 7 days and 3 months was more frequent in PI than in BI. CONCLUSION:  We found better outcome and lesser stroke severity on admission in patients with higher socioeconomic status in an acute stroke population. The reason for milder strokes in patients with better socioeconomic status in a universal health care system needs to be explained.

Understanding Insurance Company Financial Stability Ratings, January 2007

Choosing a financially strong insurance company is important when buying health insurance. You want the company to still be in business when you have claims, which can be 20 to 30 years from now. Insurance companies selling insurance in Iowa have met the minimum legal standards to be licensed by the State of Iowa Insurance Division. This licensure doesn’t mean the company has a high financial stability rating. Several independent rating agencies evaluate the financial stability of insurance companies. The rating for an individual insurance company is an opinion as to its financial strength and ability to pay claims in the future. When evaluating a company, a rating agency may consider a company's balance sheet strength, operating performance and business management and strategies.

Getting Ready to Retire: Health Insurance Issues, December 2006

Before making the decision to retire, understand the health insurance options available to you (and your spouse if you are married). Which questions you need to ask depends on: • how old you are. • how old your spouse is. • whether you or your spouse is eligible for Medicare. • whether you or your spouse will continue to be employed. • how many employees the employer has.

Events That Guarantee Your Right To Buy Medicare Supplement Insurance, March 2007

You have a six-month open enrollment period when you are enrolled in Medicare Part B for the first time at age 65 or older. The six-month period begins the date your Medicare Part B begins. During your open enrollment period: • You cannot be turned down for any plan (A-L) being sold in Iowa. • You cannot be charged a higher premium based on your health. • You will not have a waiting period before benefits are paid for pre-existing health conditions IF you had previous health insurance coverage, AND you apply within 63 days of the end of previous health insurance, AND you were covered for at least 6 months under that health plan.

Medicare and Other Insurance for People with Disabilities, March 2007

When you are entitled to Social Security disability benefits for 24 months, you are eligible for Medicare beginning the 25th month. An exception applies if you have been diagnosed with Amyotrophic Lateral Sclerosis (ALS) also known as Lou Gehrig’s Disease. If you have ALS, Medicare begins the first month you are entitled to Social Security disability benefits.

COBRA: Continuation of Employer Group Health Insurance, March 2007

COBRA stands for Consolidated Omnibus Budget Reconciliation Act *COBRA is not insurance; it is the law, since 1985. COBRA allows employees and their dependents to continue employer group health insurance for several months when that insurance would usually end. *Insurance plans under COBRA are private health plans, not plans sold by the government. *The U.S. Departments of Labor and Treasury enforce COBRA.

Long-Term Care Insurance Companies, September 2007

The companies on this list have been approved to sell long-term-care insurance in the State of Iowa. Customer service numbers are listed for each company. Please open pdf for the numbers.